# On the convergence of the Newton-GMBACK method

## Abstract

When the GMBACK solver is used in the Newton iterates, the iterates may be written either as inexact Newton iterates or as quasi-Newton iterates. In this paper present results which assure the local convergence of the iterates in the both settings.

## Authors

Emil Catinas
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

## Keywords

linear systems; Krylov solvers; GMBACK; backward error.

## Cite this paper as:

E. Catinas, On the convergence of the Newton-GMBACK method. 2007 International Conference on Engineering and Mathematics, Bilbabo, July 9-11, 2007, pp.11-14.

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